$$\frac{4x}{3}-\frac{x-1}{2}=1\frac{1}{4}$$
$x=\frac{9}{10}=0.9$
$$4\times 4x-6\left(x-1\right)=3\left(1\times 4+1\right)$$
$$16x-6\left(x-1\right)=3\left(1\times 4+1\right)$$
$$16x-6x+6=3\left(1\times 4+1\right)$$
$$10x+6=3\left(1\times 4+1\right)$$
$$10x+6=3\left(4+1\right)$$
$$10x+6=3\times 5$$
$$10x+6=15$$
$$10x=15-6$$
$$10x=9$$
$$x=\frac{9}{10}$$
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